Length + expression of a variable from the formula - practice problems - page 5 of 32
Number of problems found: 626
- Isosceles right triangle
If the square of the hypotenuse of an isosceles right triangle is 128 cm2, find the length of each side. - A construction
A construction worker is trying to find the height of a skyrise building. He is standing some distance away from the base with an angle of elevation of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 degrees. Find - Perpendicular 73574
The two lines of the triangle are perpendicular to each other and are 27 cm and 36 cm. Calculate the length of the sides of the triangle and the length of the third line. - Square-shaped 73564
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Find the scale of the map. - Binibini
Binibini owns a triangular residential lot bounded by two roads intersecting at 70°. The sides of the lot along the road are 62m and 43m, respectively. Find the length of the fence needed to enclose the lot. (express answers to the nearest hundredths) - Perpendicular 73264
The perimeter of a right triangle is equal to 30 centimeters. Calculate the perpendicular b if a = 5 centimeters and c = 13 centimeters. A natural number expresses the length of the perpendicular b. - A flagpole
A flagpole is leaning at an angle of 107° with the ground. A string fastened to the top of the flagpole is holding up the pole. The string makes an angle of 38° with the ground, and the flagpole is 8 m long. What is the length of the string? - Calculate 73024
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - Surface 72394
The volume of the cube is 15625 cubic meters. Find the length of the edge and the surface of the cube. - Length and width
Use the 5-step procedure. The perimeter of a rectangle is 34 in. The length is 4 in less than three times the width. Find the length and width. - A rectangle 10
A rectangle has a length of 8 millimeters and an area of 216 square millimeters. What is the width? What is the perimeter? - Centimeters 72134
The area of the square is equal to 1024 square centimeters. Calculate the perimeter of the square and the length of the side a. - Observatory 71934
The aircraft flying towards the observatory was aimed at a distance of 5300 m at an elevation angle of 28º and after 9 seconds at a distance of 2400 m at an elevation angle of 50º. Calculate the distance the plane has flown in this time interval, its spee - Circumference 71304
The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4:6:5. Determine the lengths of its sides. - Treadmill 70904
The runner circled the track three times. If he went around it once more, he would run one kilometer. What is the radius of the treadmill? - Perpendicular 70824
One perpendicular to the ABC right triangle has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - Calculate 70814
The length of the sides AB and AD of the rectangle ABCD are in the ratio 3: 4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle. - Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden. - Capacity 70404
The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cubic centimeters?
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